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Finding the Third Proportional to 46,990.13 and 97,093.69

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Solution

The third proportional to 46,990.13 and 97,093.69 is: 200,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990.13 : 97,093.69 = 97,093.69 : x
  2. Step 2: Convert to fraction form
    46,990.13/97,093.69 = 97,093.69/x
  3. Step 3: Cross multiply
    46,990.13x = 97,093.69 × 97,093.69
  4. Step 4: Simplify right side
    46,990.13x = 9,427,184,152.35
  5. Step 5: Solve for x
    x = 9,427,184,152.35/46,990.13
  6. Step 6: Final answer
    x = 200,620.54

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.